Q40. - Algebra 1

Question

Examples 4 and 5 If $f\left(x\right)=-2x-3$ and $g\left(x\right)=x^2+5x,$ find each value. (P. 50)

$g(-6m)$

Step-by-Step Solution

Answer

The function value at $x=-6m$ is $6m\left(6m-5\right)$.

Step 1. Interpreting of function g − 6 m

$g\left(-6m\right)$ Indicates the value of function $g\left(x\right)$ at $x=-6m$

Step 2. Apply substitution method.

Substitute $x=-6m$ into the function $g\left(x\right)$

width="197" style="max-width: none; vertical-align: -4px;" $g\left(-6m\right)={\left(-6m\right)}^2+5\left(-6m\right)$

Step 3. Further calculation :

$\begin{array}{l}g\left(-6m\right)=36m^2-30m\\ g\left(-6m\right)=6m\left(6m-5\right)\end{array}$

Thus, the function value at $x=-6m$ is $6m\left(6m-5\right)$